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Simplifying 5(2x + 7) + -1(5x + -4) = 0 Reorder the terms: 5(7 + 2x) + -1(5x + -4) = 0 (7 * 5 + 2x * 5) + -1(5x + -4) = 0 (35 + 10x) + -1(5x + -4) = 0 Reorder the terms: 35 + 10x + -1(-4 + 5x) = 0 35 + 10x + (-4 * -1 + 5x * -1) = 0 35 + 10x + (4 + -5x) = 0 Reorder the terms: 35 + 4 + 10x + -5x = 0 Combine like terms: 35 + 4 = 39 39 + 10x + -5x = 0 Combine like terms: 10x + -5x = 5x 39 + 5x = 0 Solving 39 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 5x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 5x = 0 + -39 5x = 0 + -39 Combine like terms: 0 + -39 = -39 5x = -39 Divide each side by '5'. x = -7.8 Simplifying x = -7.8
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